A property of entire transcendental functions
نویسندگان
چکیده
منابع مشابه
Hausdorff Dimensions of Escaping Sets of Transcendental Entire Functions
Let f and g be transcendental entire functions, each with a bounded set of singular values, and suppose that g ◦ φ = ψ ◦ f , where φ, ψ : C → C are affine. We show that the escaping sets of f and g have the same Hausdorff dimension. Using a result of the second author, we deduce that there exists a family of transcendental entire functions for which the escaping set has Hausdorff dimension equa...
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We prove an analog of Böttcher’s theorem for transcendental entire functions in the Eremenko-Lyubich class B. More precisely, let f and g be entire functions with bounded sets of singular values and suppose that f and g belong to the same parameter space (i.e., are quasiconformally equivalent in the sense of Eremenko and Lyubich). Then f and g are conjugate when restricted to the set of points ...
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ژورنال
عنوان ژورنال: Časopis pro pěstování matematiky
سال: 1978
ISSN: 0528-2195
DOI: 10.21136/cpm.1978.117994